5561044070400 has 3744 divisors, whose sum is σ = 27110474818560. Its totient is φ = 1086101913600.

The previous prime is 5561044070383. The next prime is 5561044070401. The reversal of 5561044070400 is 40704401655.

5561044070400 is a `hidden beast` number, since 55 + 61 + 0 + 440 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a super-2 number, since 2×5561044070400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5561044070401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 179388518385 + ... + 179388518415.

Almost surely, 2^{5561044070400} is an apocalyptic number.

5561044070400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5561044070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13555237409280).

5561044070400 is an abundant number, since it is smaller than the sum of its proper divisors (21549430748160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5561044070400 is a wasteful number, since it uses less digits than its factorization.

5561044070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 5561044070400 in words is "five trillion, five hundred sixty-one billion, forty-four million, seventy thousand, four hundred".